Theory of High Frequency Gas Discharges. II. Harmonic Components of the Distribution Function 1

摘要: The type of distribution function employed in the foregoing paper is not sufficiently general to be applicable all conditions frequency and field strength. To examine its limitations, limitations corresponding d.c. treatments, developed as a series Legendre polynomials $\frac{{v}_{x}}{v}$, $x$ being direction, Fourier functions $\ensuremath{\omega}t$, $\ensuremath{\omega}$ frequency. Attention limited steady states elastic collisions between electrons gas molecules. By solving resulting recurrence equations number successive approximations has been obtained, from each approximation range validity preceding one determined. Questions mathematical convergence are dealt with, since physical meaning results usually clear reasonable. current through shown take on character when $\ensuremath{\omega}\ensuremath{\lambda}\ensuremath{\ll}(\frac{m}{M})v$, $\ensuremath{\lambda}$ mean free path $v$ (mean) velocity producing current.